Nuprl - Proof: equivrel characterization 1

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At: equivrel characterization 1

1. A : Type
2. R : A

Prop
3. EquivRel x,y:A. R(x,y)

x:A. R(x,x) & (

y:A. R(x,y)

R(y,x) & (

z:A. R(y,z)

R(x,z)))

By:	Analyze 3 THEN Analyze 4

Generated subgoal:

1 3. Refl(A;x,y.R(x,y))
4. Sym x,y:A. R(x,y)
5. Trans x,y:A. R(x,y)
x:A. R(x,x) & (y:A. R(x,y) R(y,x) & (z:A. R(y,z) R(x,z)))
6 steps

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